Dynamic Analysis and Circuit Implementation of a New 4D Lorenz-Type Hyperchaotic System

被引：11

作者：

Al-khedhairi, A. ^{[1
]}

Elsonbaty, A. ^{[2
,3
]}

Abdel Kader, A. H. ^{[3
]}

Elsadany, A. A. ^{[2
,4
]}

机构：

[1] King Saud Univ, Dept Stat & Operat Res, Coll Sci, POB 2455, Riyadh 11451, Saudi Arabia

[2] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Studies, Dept Math, Al Kharj, Saudi Arabia

[3] Mansoura Univ, Dept Engn Math & Phys, Fac Engn, Mansoura 35516, Egypt

[4] Suez Canal Univ, Fac Comp & Informat, Dept Basic Sci, Ismailia 41522, Egypt

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2019年 / 2019卷

关键词：

BIFURCATION-ANALYSIS; CHAOS CONTROL; SYNCHRONIZATION; REALIZATION;

D O I：

10.1155/2019/6581586

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper attempts to further extend the results of dynamical analysis carried out on a recent 4D Lorenz-type hyperchaotic system while exploring new analytical results concerns its local and global dynamics. In particular, the equilibrium points of the system along with solution's continuous dependence on initial conditions are examined. Then, a detailed Z2 symmetrical Bogdanov-Takens bifurcation analysis of the hyperchaotic system is performed. Also, the possible first integrals and global invariant surfaces which exist in system's phase space are analytically found. Theoretical results reveal the rich dynamics and the complexity of system behavior. Finally, numerical simulations and a proposed circuit implementation of the hyperchaotic system are provided to validate the present analytical study of the system.

引用

页数：17

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